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README.md
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@ -4,17 +4,17 @@
The usual omnidirectional antenna has a radiation pattern of:
<center>![Radiation Omni](https://upload.wikimedia.org/wikipedia/commons/e/e1/L-over2-rad-pat-per.jpg)</center>
<center><img src="https://upload.wikimedia.org/wikipedia/commons/e/e1/L-over2-rad-pat-per.jpg"/></center>
The usual yagi antenna has a radiation pattern as shown in:
<center>![Radiation Yagi](https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Fwww.raymaps.com%2Fwp-content%2Fuploads%2F2012%2F02%2FYagi-Antenna-3D-Radiation-Pattern.jpg&f=1&nofb=1&ipt=fe9716b06b1dcb895fc304ee63e020191fc69416890aca1aecc2fe073115926c&ipo=images)</center>
<center><img src="https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Fwww.raymaps.com%2Fwp-content%2Fuploads%2F2012%2F02%2FYagi-Antenna-3D-Radiation-Pattern.jpg&f=1&nofb=1&ipt=fe9716b06b1dcb895fc304ee63e020191fc69416890aca1aecc2fe073115926c&ipo=images"/></center>
For the sake of brevity, let these simplifications of said radiation patterns be true(within the thought experiment).
<center>
![simple omni](images/omni.png)
![simple yagi](images/yagi.png)
<img src="images/omni.png"/>
<img src="images/yagi.png"/>
</center>
## Problem
@ -33,11 +33,11 @@ We know the distances between each of the points.
Both strategies involve direction finding of some sort. [Direction finding](https://en.wikipedia.org/wiki/Direction_finding) using vector intersection is quite self explanatory, you take the antenna in which the signal is the strongest, take the two nearest antennas and find the point in which the vectors overlap. The point left at the end is our location.
<center>![Triangulation](https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Triangulation.svg/800px-Triangulation.svg.png)</center>
<center><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Triangulation.svg/800px-Triangulation.svg.png"/></center>
When it comes to circles, however, the strategy is different. [Trilateration](https://en.wikipedia.org/wiki/Trilateration) is a way of pinpointing a location using ranges. The approach is different from the usual, as we do not have multiple antennas, but rather a single moving one. Trilateration goes like: Get readings from 3 different points(it would help if they were polar opposites). Find the intersection of the three circles that you have. That's the point we're looking for.
<center>![Trilateration](https://www.researchgate.net/profile/Constantinos-Patsakis/publication/277077361/figure/fig1/AS:613444243968081@1523267913923/Trilateration-attack-with-exact-distances.png)</center>
<center><img src="https://www.researchgate.net/profile/Constantinos-Patsakis/publication/277077361/figure/fig1/AS:613444243968081@1523267913923/Trilateration-attack-with-exact-distances.png"/></center>
### Expected results
YS is not as effective, however it is way more efficient than OMS on many levels. At least on paper. A list of all the theoretical pros of YS over OMS: